A test consists of multiple choice questions worth 4 points and essay questions worth 8 points. The test has 22 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.

a. 14

b. 16

c. 19

d. 22

Question

A test consists of multiple choice questions worth 4 points and essay questions worth 8 points. The test has 22 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.

a. 14

b. 16

c. 19

d. 22

anonymous · Answer

x+y=22
4x+8y=100
now solve

anonymous · Answer

put x = number of essay questions and then solve 
$$8x+4(22-x)=100$$

anonymous · Answer

$$8x+88-4x=100$$
$$4x+88=100$$
$$4x=12$$
$$x=3$$

anonymous · Answer

whats the answer ?

anonymous · Answer

3 essay, the rest multiple choice